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Simplifying (9 + -2j)(8 + 9j) = 0 Multiply (9 + -2j) * (8 + 9j) (9(8 + 9j) + -2j * (8 + 9j)) = 0 ((8 * 9 + 9j * 9) + -2j * (8 + 9j)) = 0 ((72 + 81j) + -2j * (8 + 9j)) = 0 (72 + 81j + (8 * -2j + 9j * -2j)) = 0 (72 + 81j + (-16j + -18j2)) = 0 Combine like terms: 81j + -16j = 65j (72 + 65j + -18j2) = 0 Solving 72 + 65j + -18j2 = 0 Solving for variable 'j'. Factor a trinomial. (9 + -2j)(8 + 9j) = 0Subproblem 1
Set the factor '(9 + -2j)' equal to zero and attempt to solve: Simplifying 9 + -2j = 0 Solving 9 + -2j = 0 Move all terms containing j to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2j = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2j = 0 + -9 -2j = 0 + -9 Combine like terms: 0 + -9 = -9 -2j = -9 Divide each side by '-2'. j = 4.5 Simplifying j = 4.5Subproblem 2
Set the factor '(8 + 9j)' equal to zero and attempt to solve: Simplifying 8 + 9j = 0 Solving 8 + 9j = 0 Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9j = 0 + -8 9j = 0 + -8 Combine like terms: 0 + -8 = -8 9j = -8 Divide each side by '9'. j = -0.8888888889 Simplifying j = -0.8888888889Solution
j = {4.5, -0.8888888889}
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